Let = (2, 4,3) and =(5, 4, 4). Express the vector v as the sum of a vector parallel to w and a vector orthogonal to w. We denote the vector component of u along was p,so p = projzu. We denote the vector component of orthogonal to was , and have a-p, so that v=p+q. (a) Determine the vector component of v along w: p - - (b) Determine the vector component of orthogonal to w: q= Express all answers in exact form, no decimals. Submit Question

Let = (2, 4,3) and =(5, 4, 4). Express the vector v as the sum of a vector parallel to w and a vector orthogonal to w. We denote the vector component of u along was p,so p = projzu. We denote the vector component of orthogonal to was , and have a-p, so that v=p+q. (a) Determine the vector component of v along w: p - - (b) Determine the vector component of orthogonal to w: q= Express all answers in exact form, no decimals. Submit Question

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 18EQ

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